The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is the output power of the first generator, x₂ is the output power of the second generator, and x3, is the output power of the third generator. It is known that the three generators serve a load (total output power) of 744 megawatts. Determine the distribution of power that must be generated by each generator so that it can meet the needs load with minimum total operating costs.
The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is the output power of the first generator, x₂ is the output power of the second generator, and x3, is the output power of the third generator. It is known that the three generators serve a load (total output power) of 744 megawatts. Determine the distribution of power that must be generated by each generator so that it can meet the needs load with minimum total operating costs.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The hourly cost function (in dollars) of 3 generators, each as follows:
where x₁ is the output power of the first generator, x₂ is the output power of the second generator, and x3, is the output power of the third generator. It is known that the three generators serve a load (total output power) of 744 megawatts. Determine the distribution of power that must be generated by each generator so that it can meet the needs load with minimum total operating costs.
Transcribed Image Text:fi :x +125x
f2:Xz+75x
f3:x3 +50x
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